Abstract

A surface integral equation together with the multilevel fast multipole algorithm is successfully applied to fast and accurate resolution of plasmonic problems involving a large number of unknowns. The absorption, scattering, and extinction efficiencies of several plasmonic gold spheres of increasing size are efficiently obtained solving the electric and magnetic current combined-field integral equation. The numerical predictions are compared with reference analytic results to demonstrate the accuracy, suitability, and capabilities of this approach when dealing with large-scale plasmonic problems.

© 2012 Optical Society of America

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  1. S. A. Maier and H. A. Atwater, J. Appl. Phys. 98, 011101 (2005).
    [CrossRef]
  2. S. A. Maier, Plasmonics: Fundamentals and Applications (Springer, 2007).
  3. S. Kawata ed., Near-Field Optics and Surface Plasmon Polaritons (Springer, 2010).
  4. J. A. Shuller, E. S. Barnard, W. Cai, Y. C. Jun, J. S. White, and M. L. Brongersma, Nat. Mater. 9, 193 (2010).
    [CrossRef]
  5. J. Dorfmüller, R. Vogelgesang, W. Khunsin, C. Rockstuhl, C. Etrich, and K. Kern, Nano Lett. 10, 3596 (2010).
    [CrossRef]
  6. R. F. Harrington, Field Computation by Moment Method (IEEE Press, 1993).
  7. P. Ylä-Oijala and M. Taskinen, IEEE Trans. Antennas Propag. 53, 1168 (2005).
  8. J. Rivero, J. M. Taboada, L. Landesa, F. Obelleiro, and I. García-Tuñón, Opt. Express 18, 15876 (2010).
    [CrossRef]
  9. J. M. Taboada, J. Rivero, F. Obelleiro, M. G. Araújo, and L. Landesa, J. Opt. Soc. Am. A 28, 1341 (2011).
    [CrossRef]
  10. R. Coifman, V. Rokhlin, and S. Wanzura, IEEE Antennas Propag. Mag. 35, 7 (1993).
    [CrossRef]
  11. J. M. Song and W. C. Chew, Microw. Opt. Technol. Lett. 10, 14 (1995).
    [CrossRef]
  12. J. Song, C.-C. Lu, and W. C. Chew, IEEE Trans. Antennas Propag. 45, 1488 (1997).
    [CrossRef]
  13. J. M. Taboada, L. Landesa, F. Obelleiro, J. L. Rodríguez, J. M. Bértolo, M. G. Araújo, J. C. Mouriño, and A. Gomez, IEEE Antennas Propag. Mag. 51, 20 (2009).
    [CrossRef]
  14. Ö. Ergül and L. Gürel, IEEE Trans. Antennas Propag. 57, 1740 (2009).
  15. M. G. Arañjo, J. M. Taboada, F. Obelleiro, J. M. Bértolo, L. Landesa, J. Rivero, and J. L. Rodríguez, Prog. Electromagn. Res. 101, 241 (2010).
    [CrossRef]
  16. J. M. Taboada, M. G. Araújo, J. M. Bértolo, L. Landesa, F. Obelleiro, and J. L. Rodríguez, Prog. Electromagn. Res. 105, 15 (2010).
    [CrossRef]
  17. P. Ylä-Oijala, M. Taskinen, and S. Järvenpää, Radio Sci. 40, RS6002 (2005).
    [CrossRef]
  18. S. M. Rao, D. R. Wilton, and A. W. Glisson, IEEE Trans. Antennas Propag. 30, 409 (1982).
    [CrossRef]
  19. W. C. Chew, J.-M. Jin, E. Michielssen, and J. Song, Fast and Efficient Algorithms in Computational Electromagnetics (Artech House, 2001).
  20. M. G. Araújo, J. M. Taboada, J. Rivero, and F. Obelleiro, Prog. Electromagn. Res. 118, 425 (2011).
    [CrossRef]
  21. P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
    [CrossRef]
  22. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).
  23. A. Ishimaru, Electromagnetic Wave Propagation, Radiation and Scattering (Prentice-Hall, 1991).
  24. Y. Saad and M. Schultz, SIAM J. Sci. Statist. Comput. 7 (1986).
    [CrossRef]

2011 (2)

J. M. Taboada, J. Rivero, F. Obelleiro, M. G. Araújo, and L. Landesa, J. Opt. Soc. Am. A 28, 1341 (2011).
[CrossRef]

M. G. Araújo, J. M. Taboada, J. Rivero, and F. Obelleiro, Prog. Electromagn. Res. 118, 425 (2011).
[CrossRef]

2010 (5)

M. G. Arañjo, J. M. Taboada, F. Obelleiro, J. M. Bértolo, L. Landesa, J. Rivero, and J. L. Rodríguez, Prog. Electromagn. Res. 101, 241 (2010).
[CrossRef]

J. M. Taboada, M. G. Araújo, J. M. Bértolo, L. Landesa, F. Obelleiro, and J. L. Rodríguez, Prog. Electromagn. Res. 105, 15 (2010).
[CrossRef]

J. A. Shuller, E. S. Barnard, W. Cai, Y. C. Jun, J. S. White, and M. L. Brongersma, Nat. Mater. 9, 193 (2010).
[CrossRef]

J. Dorfmüller, R. Vogelgesang, W. Khunsin, C. Rockstuhl, C. Etrich, and K. Kern, Nano Lett. 10, 3596 (2010).
[CrossRef]

J. Rivero, J. M. Taboada, L. Landesa, F. Obelleiro, and I. García-Tuñón, Opt. Express 18, 15876 (2010).
[CrossRef]

2009 (2)

J. M. Taboada, L. Landesa, F. Obelleiro, J. L. Rodríguez, J. M. Bértolo, M. G. Araújo, J. C. Mouriño, and A. Gomez, IEEE Antennas Propag. Mag. 51, 20 (2009).
[CrossRef]

Ö. Ergül and L. Gürel, IEEE Trans. Antennas Propag. 57, 1740 (2009).

2005 (3)

P. Ylä-Oijala, M. Taskinen, and S. Järvenpää, Radio Sci. 40, RS6002 (2005).
[CrossRef]

S. A. Maier and H. A. Atwater, J. Appl. Phys. 98, 011101 (2005).
[CrossRef]

P. Ylä-Oijala and M. Taskinen, IEEE Trans. Antennas Propag. 53, 1168 (2005).

1997 (1)

J. Song, C.-C. Lu, and W. C. Chew, IEEE Trans. Antennas Propag. 45, 1488 (1997).
[CrossRef]

1995 (1)

J. M. Song and W. C. Chew, Microw. Opt. Technol. Lett. 10, 14 (1995).
[CrossRef]

1993 (1)

R. Coifman, V. Rokhlin, and S. Wanzura, IEEE Antennas Propag. Mag. 35, 7 (1993).
[CrossRef]

1986 (1)

Y. Saad and M. Schultz, SIAM J. Sci. Statist. Comput. 7 (1986).
[CrossRef]

1982 (1)

S. M. Rao, D. R. Wilton, and A. W. Glisson, IEEE Trans. Antennas Propag. 30, 409 (1982).
[CrossRef]

1972 (1)

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Arañjo, M. G.

M. G. Arañjo, J. M. Taboada, F. Obelleiro, J. M. Bértolo, L. Landesa, J. Rivero, and J. L. Rodríguez, Prog. Electromagn. Res. 101, 241 (2010).
[CrossRef]

Araújo, M. G.

M. G. Araújo, J. M. Taboada, J. Rivero, and F. Obelleiro, Prog. Electromagn. Res. 118, 425 (2011).
[CrossRef]

J. M. Taboada, J. Rivero, F. Obelleiro, M. G. Araújo, and L. Landesa, J. Opt. Soc. Am. A 28, 1341 (2011).
[CrossRef]

J. M. Taboada, M. G. Araújo, J. M. Bértolo, L. Landesa, F. Obelleiro, and J. L. Rodríguez, Prog. Electromagn. Res. 105, 15 (2010).
[CrossRef]

J. M. Taboada, L. Landesa, F. Obelleiro, J. L. Rodríguez, J. M. Bértolo, M. G. Araújo, J. C. Mouriño, and A. Gomez, IEEE Antennas Propag. Mag. 51, 20 (2009).
[CrossRef]

Atwater, H. A.

S. A. Maier and H. A. Atwater, J. Appl. Phys. 98, 011101 (2005).
[CrossRef]

Barnard, E. S.

J. A. Shuller, E. S. Barnard, W. Cai, Y. C. Jun, J. S. White, and M. L. Brongersma, Nat. Mater. 9, 193 (2010).
[CrossRef]

Bértolo, J. M.

M. G. Arañjo, J. M. Taboada, F. Obelleiro, J. M. Bértolo, L. Landesa, J. Rivero, and J. L. Rodríguez, Prog. Electromagn. Res. 101, 241 (2010).
[CrossRef]

J. M. Taboada, M. G. Araújo, J. M. Bértolo, L. Landesa, F. Obelleiro, and J. L. Rodríguez, Prog. Electromagn. Res. 105, 15 (2010).
[CrossRef]

J. M. Taboada, L. Landesa, F. Obelleiro, J. L. Rodríguez, J. M. Bértolo, M. G. Araújo, J. C. Mouriño, and A. Gomez, IEEE Antennas Propag. Mag. 51, 20 (2009).
[CrossRef]

Bohren, C. F.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

Brongersma, M. L.

J. A. Shuller, E. S. Barnard, W. Cai, Y. C. Jun, J. S. White, and M. L. Brongersma, Nat. Mater. 9, 193 (2010).
[CrossRef]

Cai, W.

J. A. Shuller, E. S. Barnard, W. Cai, Y. C. Jun, J. S. White, and M. L. Brongersma, Nat. Mater. 9, 193 (2010).
[CrossRef]

Chew, W. C.

J. Song, C.-C. Lu, and W. C. Chew, IEEE Trans. Antennas Propag. 45, 1488 (1997).
[CrossRef]

J. M. Song and W. C. Chew, Microw. Opt. Technol. Lett. 10, 14 (1995).
[CrossRef]

W. C. Chew, J.-M. Jin, E. Michielssen, and J. Song, Fast and Efficient Algorithms in Computational Electromagnetics (Artech House, 2001).

Christy, R. W.

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Coifman, R.

R. Coifman, V. Rokhlin, and S. Wanzura, IEEE Antennas Propag. Mag. 35, 7 (1993).
[CrossRef]

Dorfmüller, J.

J. Dorfmüller, R. Vogelgesang, W. Khunsin, C. Rockstuhl, C. Etrich, and K. Kern, Nano Lett. 10, 3596 (2010).
[CrossRef]

Ergül, Ö.

Ö. Ergül and L. Gürel, IEEE Trans. Antennas Propag. 57, 1740 (2009).

Etrich, C.

J. Dorfmüller, R. Vogelgesang, W. Khunsin, C. Rockstuhl, C. Etrich, and K. Kern, Nano Lett. 10, 3596 (2010).
[CrossRef]

García-Tuñón, I.

Glisson, A. W.

S. M. Rao, D. R. Wilton, and A. W. Glisson, IEEE Trans. Antennas Propag. 30, 409 (1982).
[CrossRef]

Gomez, A.

J. M. Taboada, L. Landesa, F. Obelleiro, J. L. Rodríguez, J. M. Bértolo, M. G. Araújo, J. C. Mouriño, and A. Gomez, IEEE Antennas Propag. Mag. 51, 20 (2009).
[CrossRef]

Gürel, L.

Ö. Ergül and L. Gürel, IEEE Trans. Antennas Propag. 57, 1740 (2009).

Harrington, R. F.

R. F. Harrington, Field Computation by Moment Method (IEEE Press, 1993).

Huffman, D. R.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

Ishimaru, A.

A. Ishimaru, Electromagnetic Wave Propagation, Radiation and Scattering (Prentice-Hall, 1991).

Järvenpää, S.

P. Ylä-Oijala, M. Taskinen, and S. Järvenpää, Radio Sci. 40, RS6002 (2005).
[CrossRef]

Jin, J.-M.

W. C. Chew, J.-M. Jin, E. Michielssen, and J. Song, Fast and Efficient Algorithms in Computational Electromagnetics (Artech House, 2001).

Johnson, P. B.

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Jun, Y. C.

J. A. Shuller, E. S. Barnard, W. Cai, Y. C. Jun, J. S. White, and M. L. Brongersma, Nat. Mater. 9, 193 (2010).
[CrossRef]

Kern, K.

J. Dorfmüller, R. Vogelgesang, W. Khunsin, C. Rockstuhl, C. Etrich, and K. Kern, Nano Lett. 10, 3596 (2010).
[CrossRef]

Khunsin, W.

J. Dorfmüller, R. Vogelgesang, W. Khunsin, C. Rockstuhl, C. Etrich, and K. Kern, Nano Lett. 10, 3596 (2010).
[CrossRef]

Landesa, L.

J. M. Taboada, J. Rivero, F. Obelleiro, M. G. Araújo, and L. Landesa, J. Opt. Soc. Am. A 28, 1341 (2011).
[CrossRef]

J. Rivero, J. M. Taboada, L. Landesa, F. Obelleiro, and I. García-Tuñón, Opt. Express 18, 15876 (2010).
[CrossRef]

J. M. Taboada, M. G. Araújo, J. M. Bértolo, L. Landesa, F. Obelleiro, and J. L. Rodríguez, Prog. Electromagn. Res. 105, 15 (2010).
[CrossRef]

M. G. Arañjo, J. M. Taboada, F. Obelleiro, J. M. Bértolo, L. Landesa, J. Rivero, and J. L. Rodríguez, Prog. Electromagn. Res. 101, 241 (2010).
[CrossRef]

J. M. Taboada, L. Landesa, F. Obelleiro, J. L. Rodríguez, J. M. Bértolo, M. G. Araújo, J. C. Mouriño, and A. Gomez, IEEE Antennas Propag. Mag. 51, 20 (2009).
[CrossRef]

Lu, C.-C.

J. Song, C.-C. Lu, and W. C. Chew, IEEE Trans. Antennas Propag. 45, 1488 (1997).
[CrossRef]

Maier, S. A.

S. A. Maier and H. A. Atwater, J. Appl. Phys. 98, 011101 (2005).
[CrossRef]

S. A. Maier, Plasmonics: Fundamentals and Applications (Springer, 2007).

Michielssen, E.

W. C. Chew, J.-M. Jin, E. Michielssen, and J. Song, Fast and Efficient Algorithms in Computational Electromagnetics (Artech House, 2001).

Mouriño, J. C.

J. M. Taboada, L. Landesa, F. Obelleiro, J. L. Rodríguez, J. M. Bértolo, M. G. Araújo, J. C. Mouriño, and A. Gomez, IEEE Antennas Propag. Mag. 51, 20 (2009).
[CrossRef]

Obelleiro, F.

J. M. Taboada, J. Rivero, F. Obelleiro, M. G. Araújo, and L. Landesa, J. Opt. Soc. Am. A 28, 1341 (2011).
[CrossRef]

M. G. Araújo, J. M. Taboada, J. Rivero, and F. Obelleiro, Prog. Electromagn. Res. 118, 425 (2011).
[CrossRef]

J. Rivero, J. M. Taboada, L. Landesa, F. Obelleiro, and I. García-Tuñón, Opt. Express 18, 15876 (2010).
[CrossRef]

J. M. Taboada, M. G. Araújo, J. M. Bértolo, L. Landesa, F. Obelleiro, and J. L. Rodríguez, Prog. Electromagn. Res. 105, 15 (2010).
[CrossRef]

M. G. Arañjo, J. M. Taboada, F. Obelleiro, J. M. Bértolo, L. Landesa, J. Rivero, and J. L. Rodríguez, Prog. Electromagn. Res. 101, 241 (2010).
[CrossRef]

J. M. Taboada, L. Landesa, F. Obelleiro, J. L. Rodríguez, J. M. Bértolo, M. G. Araújo, J. C. Mouriño, and A. Gomez, IEEE Antennas Propag. Mag. 51, 20 (2009).
[CrossRef]

Rao, S. M.

S. M. Rao, D. R. Wilton, and A. W. Glisson, IEEE Trans. Antennas Propag. 30, 409 (1982).
[CrossRef]

Rivero, J.

M. G. Araújo, J. M. Taboada, J. Rivero, and F. Obelleiro, Prog. Electromagn. Res. 118, 425 (2011).
[CrossRef]

J. M. Taboada, J. Rivero, F. Obelleiro, M. G. Araújo, and L. Landesa, J. Opt. Soc. Am. A 28, 1341 (2011).
[CrossRef]

J. Rivero, J. M. Taboada, L. Landesa, F. Obelleiro, and I. García-Tuñón, Opt. Express 18, 15876 (2010).
[CrossRef]

M. G. Arañjo, J. M. Taboada, F. Obelleiro, J. M. Bértolo, L. Landesa, J. Rivero, and J. L. Rodríguez, Prog. Electromagn. Res. 101, 241 (2010).
[CrossRef]

Rockstuhl, C.

J. Dorfmüller, R. Vogelgesang, W. Khunsin, C. Rockstuhl, C. Etrich, and K. Kern, Nano Lett. 10, 3596 (2010).
[CrossRef]

Rodríguez, J. L.

M. G. Arañjo, J. M. Taboada, F. Obelleiro, J. M. Bértolo, L. Landesa, J. Rivero, and J. L. Rodríguez, Prog. Electromagn. Res. 101, 241 (2010).
[CrossRef]

J. M. Taboada, M. G. Araújo, J. M. Bértolo, L. Landesa, F. Obelleiro, and J. L. Rodríguez, Prog. Electromagn. Res. 105, 15 (2010).
[CrossRef]

J. M. Taboada, L. Landesa, F. Obelleiro, J. L. Rodríguez, J. M. Bértolo, M. G. Araújo, J. C. Mouriño, and A. Gomez, IEEE Antennas Propag. Mag. 51, 20 (2009).
[CrossRef]

Rokhlin, V.

R. Coifman, V. Rokhlin, and S. Wanzura, IEEE Antennas Propag. Mag. 35, 7 (1993).
[CrossRef]

Saad, Y.

Y. Saad and M. Schultz, SIAM J. Sci. Statist. Comput. 7 (1986).
[CrossRef]

Schultz, M.

Y. Saad and M. Schultz, SIAM J. Sci. Statist. Comput. 7 (1986).
[CrossRef]

Shuller, J. A.

J. A. Shuller, E. S. Barnard, W. Cai, Y. C. Jun, J. S. White, and M. L. Brongersma, Nat. Mater. 9, 193 (2010).
[CrossRef]

Song, J.

J. Song, C.-C. Lu, and W. C. Chew, IEEE Trans. Antennas Propag. 45, 1488 (1997).
[CrossRef]

W. C. Chew, J.-M. Jin, E. Michielssen, and J. Song, Fast and Efficient Algorithms in Computational Electromagnetics (Artech House, 2001).

Song, J. M.

J. M. Song and W. C. Chew, Microw. Opt. Technol. Lett. 10, 14 (1995).
[CrossRef]

Taboada, J. M.

J. M. Taboada, J. Rivero, F. Obelleiro, M. G. Araújo, and L. Landesa, J. Opt. Soc. Am. A 28, 1341 (2011).
[CrossRef]

M. G. Araújo, J. M. Taboada, J. Rivero, and F. Obelleiro, Prog. Electromagn. Res. 118, 425 (2011).
[CrossRef]

J. M. Taboada, M. G. Araújo, J. M. Bértolo, L. Landesa, F. Obelleiro, and J. L. Rodríguez, Prog. Electromagn. Res. 105, 15 (2010).
[CrossRef]

M. G. Arañjo, J. M. Taboada, F. Obelleiro, J. M. Bértolo, L. Landesa, J. Rivero, and J. L. Rodríguez, Prog. Electromagn. Res. 101, 241 (2010).
[CrossRef]

J. Rivero, J. M. Taboada, L. Landesa, F. Obelleiro, and I. García-Tuñón, Opt. Express 18, 15876 (2010).
[CrossRef]

J. M. Taboada, L. Landesa, F. Obelleiro, J. L. Rodríguez, J. M. Bértolo, M. G. Araújo, J. C. Mouriño, and A. Gomez, IEEE Antennas Propag. Mag. 51, 20 (2009).
[CrossRef]

Taskinen, M.

P. Ylä-Oijala, M. Taskinen, and S. Järvenpää, Radio Sci. 40, RS6002 (2005).
[CrossRef]

P. Ylä-Oijala and M. Taskinen, IEEE Trans. Antennas Propag. 53, 1168 (2005).

Vogelgesang, R.

J. Dorfmüller, R. Vogelgesang, W. Khunsin, C. Rockstuhl, C. Etrich, and K. Kern, Nano Lett. 10, 3596 (2010).
[CrossRef]

Wanzura, S.

R. Coifman, V. Rokhlin, and S. Wanzura, IEEE Antennas Propag. Mag. 35, 7 (1993).
[CrossRef]

White, J. S.

J. A. Shuller, E. S. Barnard, W. Cai, Y. C. Jun, J. S. White, and M. L. Brongersma, Nat. Mater. 9, 193 (2010).
[CrossRef]

Wilton, D. R.

S. M. Rao, D. R. Wilton, and A. W. Glisson, IEEE Trans. Antennas Propag. 30, 409 (1982).
[CrossRef]

Ylä-Oijala, P.

P. Ylä-Oijala, M. Taskinen, and S. Järvenpää, Radio Sci. 40, RS6002 (2005).
[CrossRef]

P. Ylä-Oijala and M. Taskinen, IEEE Trans. Antennas Propag. 53, 1168 (2005).

IEEE Antennas Propag. Mag. (2)

J. M. Taboada, L. Landesa, F. Obelleiro, J. L. Rodríguez, J. M. Bértolo, M. G. Araújo, J. C. Mouriño, and A. Gomez, IEEE Antennas Propag. Mag. 51, 20 (2009).
[CrossRef]

R. Coifman, V. Rokhlin, and S. Wanzura, IEEE Antennas Propag. Mag. 35, 7 (1993).
[CrossRef]

IEEE Trans. Antennas Propag. (4)

S. M. Rao, D. R. Wilton, and A. W. Glisson, IEEE Trans. Antennas Propag. 30, 409 (1982).
[CrossRef]

Ö. Ergül and L. Gürel, IEEE Trans. Antennas Propag. 57, 1740 (2009).

P. Ylä-Oijala and M. Taskinen, IEEE Trans. Antennas Propag. 53, 1168 (2005).

J. Song, C.-C. Lu, and W. C. Chew, IEEE Trans. Antennas Propag. 45, 1488 (1997).
[CrossRef]

J. Appl. Phys. (1)

S. A. Maier and H. A. Atwater, J. Appl. Phys. 98, 011101 (2005).
[CrossRef]

J. Opt. Soc. Am. A (1)

Microw. Opt. Technol. Lett. (1)

J. M. Song and W. C. Chew, Microw. Opt. Technol. Lett. 10, 14 (1995).
[CrossRef]

Nano Lett. (1)

J. Dorfmüller, R. Vogelgesang, W. Khunsin, C. Rockstuhl, C. Etrich, and K. Kern, Nano Lett. 10, 3596 (2010).
[CrossRef]

Nat. Mater. (1)

J. A. Shuller, E. S. Barnard, W. Cai, Y. C. Jun, J. S. White, and M. L. Brongersma, Nat. Mater. 9, 193 (2010).
[CrossRef]

Opt. Express (1)

Phys. Rev. B (1)

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Prog. Electromagn. Res. (3)

M. G. Araújo, J. M. Taboada, J. Rivero, and F. Obelleiro, Prog. Electromagn. Res. 118, 425 (2011).
[CrossRef]

M. G. Arañjo, J. M. Taboada, F. Obelleiro, J. M. Bértolo, L. Landesa, J. Rivero, and J. L. Rodríguez, Prog. Electromagn. Res. 101, 241 (2010).
[CrossRef]

J. M. Taboada, M. G. Araújo, J. M. Bértolo, L. Landesa, F. Obelleiro, and J. L. Rodríguez, Prog. Electromagn. Res. 105, 15 (2010).
[CrossRef]

Radio Sci. (1)

P. Ylä-Oijala, M. Taskinen, and S. Järvenpää, Radio Sci. 40, RS6002 (2005).
[CrossRef]

SIAM J. Sci. Statist. Comput. (1)

Y. Saad and M. Schultz, SIAM J. Sci. Statist. Comput. 7 (1986).
[CrossRef]

Other (6)

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

A. Ishimaru, Electromagnetic Wave Propagation, Radiation and Scattering (Prentice-Hall, 1991).

W. C. Chew, J.-M. Jin, E. Michielssen, and J. Song, Fast and Efficient Algorithms in Computational Electromagnetics (Artech House, 2001).

R. F. Harrington, Field Computation by Moment Method (IEEE Press, 1993).

S. A. Maier, Plasmonics: Fundamentals and Applications (Springer, 2007).

S. Kawata ed., Near-Field Optics and Surface Plasmon Polaritons (Springer, 2010).

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Figures (1)

Fig. 1.
Fig. 1.

(top) Absorption, scattering, and extinction efficiencies for a gold sphere obtained with JMCFIE-MLMFA formulation versus Mie’s series result at λ0=546nm; (bottom) bistatic RCS for a near resonance gold sphere of radius 0.125λ0 and a mesh size of λ0/40 versus Mie’s series result at λ0=546nm.

Tables (1)

Tables Icon

Table 1. Number of Unknowns, Convergence Iterations, Number of Levels, Computation Times, and Memory Requirements

Equations (14)

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n=1N[Zmn1JZmn1MZmn2JZmn2M][JnMn]=qBpnGq[Zmn1JZmn1MZmn2JZmn2M][JnMn]+i=1,2(jki4π)2·S2{Vmpi,1JVmpi,1MVmpi,2JVmpi,2M}qBpαpqi(ki,rpq)nGq(si)Vqni(k^){JnMnJnMn}d2k^,
Zmn1J=i=12(aiΔmfm·Li(fn)dS+sibiΔmfm·n^m×Ki(fn)dS+bi2Δmfm·fndS),
Zmn1M=i=12(aiηiΔmfm·Ki(fn)dS+sibiηiΔmfm·n^m×Li(fn)dS+siai2ηiΔmfm·n^m×fndS),
Zmn2J=i=12(diηiΔmfm·Ki(fn)dSsiciηiΔmfm·n^m×Li(fn)dSsidiηi2Δmfm·n^m×fndS),
Zmn2M=i=12(diΔmfm·Li(fn)dS+siciΔmfm·n^m×Ki(fn)dS+ci2Δmfm·fndS),
Li(fn)=jki[Δnfn(r)Gi(r,r)dS+1ki2Δn·fn(r)Gi(r,r)dS],
Ki(fn)=Δn,PVfn(r)×Gi(r,r)dS,
Vqni(k^)=Δn(I¯k^k^)·fn(r)ejki·(rqr)dS,
Vmpi,1J=siai(I¯k^k^)·Vmpibik^×(Vmpi×n^m),
Vmpi,1M=siaiηik^×Vmpi+biηi(I¯k^k^)·(Vmpi×n^m),
Vmpi,2J=ciηi(I¯k^k^)·(Vmpi×n^m)sidiηik^×Vmpi,
Vmpi,2M=cik^×(Vmpi×n^m)+sidi(I¯k^k^)·Vmpi,
Vmpi(k^)=Δmfm(r)ejki·(rrp)dS.
αpqi(ki,rpq)=l=0L(j)l(2l+1)hl(2)(kirpq)Pl(k^·r^mn),

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